Question

Contains the points (5, 3) and (8, 12); slope-intercept form

Answer 1

y = 3x + 12

Explanation:

y = mx + b
The m is the slope and the b is the y intercept.

Slope:

Change in y over the change in x. The ordered pair is written in the form (x,y)

`(12-3)/(8-5)` =
`(9)/(3)` = 3

The slope is 3.

Use the slope of the 3 and the x and y from one of the ordered pairs given. I am going to use the point (5,3), but either point will work

slope 3

x = 5

y=3 Plug these all in and solve for b

y = mx + b

3 = (3)5 + b

3 = 15 + b Subtract 15 from both sides

-12 = b

This is the y intercept

y = 3x - 12

Answer 2

Slope-intercept form,

→ y = 3x - 12

Explanation:

Formula we use,

→ y = mx + b

The value of slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (12 - 3)/(8 - 5)

→ m = 9/3

→ [ m = 3 ]

Then the value of b will be,

→ y = mx + b

→ 12 = (3)8 + b

→ b + 24 = 12

→ b = 12 - 24

→ [ b = -12 ]

Now the slope-intercept form is,

→ y = mx + b

→ [ y = 3x - 12 ]

Hence, the answer is y = 3x - 12.